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3 years ago

10

.Mariam went to the store to buy some apples. The price per pound of the apples is $6 per pound and she has a coupon for $2.25 o

ff the final amount. With the coupon, how much would Mariam have to pay to buy 3 pounds of apples? Also, write an expression for the cost to buy p pounds of apples, assuming at least one pound is purchased.

1 answer:

8_murik_8 [283]3 years ago

4 0

Answer:

$15.75

$6p-$2.25

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A thermometer is taken from a room where the temperature is 23oC to the outdoors, where the temperature is −9oC. After one minut

Helga [31]

Answer:

$(a)\ 15\textdegree C\\(b)\ After\ 3\ minutes\ and\ 52.5\ Seconds\ from\ start$

Step-by-step explanation:

Temperature in the room $=23\textdegree C$

Decrease in the temperature(outdoors) $=23-15=8\textdegree C$ in $1\ minute$ .

Rate of decrease $=8\textdegree C/minute$

$Let\ after\ x\ minutes\ temperature\ is\ y\\y=23-8x\ \ \ \ y\geq -9\textdegree C$

(a) After $4\ more\ minutes\ total\ time\ is=1+4=5\ minutes$

$y=23-5\times 8\\y=-17\\$

But it is not possible as outdoor temperature is $-9\textdegree C$ so after $-9\textdegree C$ temperature decrease will not occur.

Hence after $4$ more minutes temperature= $-9\textdegree C$

(b) Let after $t\ minutes$ temperature is $-8\textdegree C$

Here $x=t,\ y=-8\textdegree C$

$-8=23-8x\\8x=23+8\\8x=31\\x=\frac{31}{8}\\x=3.875\ minutes=3\ minutes\ and\ 52.5\ seconds$

3 0

3 years ago

What is the correct answer ? Please explain !!

PtichkaEL [24]

I have the problem written out (in the picture below) but tell me if it is unclear and I will better explain it to you!

8 0

4 years ago

PLZZZ HELP DOES ANYONE KNOW HOW TO DO THIS?!?!?<br> Find x and y

yanalaym [24]

According to the figure, I can safely assume that the 10 cm line and 15 cm line are parallel.

Thus, there are two similar triangles, one with the 10 cm bottom and 15 cm bottom, where one triangle is larger by a factor of 15/10 = 3/2

We know that the 8 cm line segment and y both join to create the side of the large triangle.

8cm + y = the side of the large triangle

Multiplying 8cm by 3/2 gives us 12, since we know the large triangle is 3/2 times larger than the smaller one.

8 + y = 12

y = 4 cm

Finding x is going to be a bit different. We know that the 6 cm line and x form the side of the larger triangle, which we know is 3/2 times larger than x.

x + 6cm = ?

The side of the larger triangle is 3/2x, thus

x + 6 = 3/2 x

Subtract both sides by x

6 = 1/2 x

Multiply both sides by 2

12 cm = x

Thus, y = 4 and x = 12.

Let me know if you need any clarifications, thanks!

3 0

3 years ago

In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally dis

Softa [21]

Answer:

$P(49.5$

$P(-1.192$

$P(-1.192$

Step-by-step explanation:

We define X the random variable that represent the heights of a population for ten year old children, and for this case we know the distribution for X is given by:

$X \sim N(55.7,5.2)$

Where $\mu=55.7$ and $\sigma=5.2$

We want to find this probability:

$P(49.5$

We can use the z score formula to solve this problem given by:

$z=\frac{x-\mu}{\sigma}$

Using this formula we have:

$P(49.5$

And we can find this probability with this difference

$P(-1.192$

We can use tables for the normal standard distribution, excel or a calculator and we got this

$P(-1.192$

4 0

3 years ago

What are the next 3 terms to this sequence?<br> 2, 6, − 4, 10, − 14, − 24...

Thepotemich [5.8K]

Answer:

-38, 62, -100

Step-by-step explanation:

I think you meant a +24, not the -24.

The recursive formula is a_n = a_(n-2) - a_(n-1)

so. we try this 3 times after the -24 term

a_3 = -4 = 2 - 6 = a_1 - a_2

...

a_6 = a_4 - a_5 = 10 - (-14) = 24

a_7 = a_5 - a_6 = -14 - (24) = -38

a_8 = a_6 - a_7 = 24 - (-38) = 62

a_9 = a_7 - a_8 = -38 - 62 = -100

a_10 = a_8 - a_9 = 62 - (-100) = 162

8 0

3 years ago